You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bottom of the screen structure. The vertical distance from the ground to your eye is 5.7 feet and the horizontal distance from you to the screen is 11 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.



The height of the screen is about_______ feet

Answers

Answer 1
Final answer:

The height of the drive-in movie theater screen can be determined using proportions and similar triangles. The total height of the screen is found to be 11.7 feet.

Explanation:

To find the height of the screen, you'll need to use similar triangles, as the triangle formed by your line of sight to the top and bottom of the screen is similar to the triangle formed by the screen and the ground. The proportion of the vertical distance from your eye to the ground and the horizontal distance from you to the screen is equal to the proportion of the height of the screen and the horizontal distance from you to the screen. Hence, you can calculate the height of the screen using a cross-multiplication.

So, we have the equation: 5.7/11 = h/11, where h is the height of the screen from your eye level. Solving this gives us h=5.7 feet. Thus, the total height of the screen is the height from the ground to your eye level plus the height of the screen from your eye level. So, the total height = 5.7 feet + 6 feet = 11.7 feet.

Learn more about Height of the Theater Screen here:

https://brainly.com/question/17279791

#SPJ12


Related Questions

The difference of a number and 8 is the same as 34 less the number. find the number.

Answers

The difference of a number and 8  is (n-8).
34 less the number is 34-n.

n-8=34-n
2n=34+8
2n=42
n=21
Final answer:

The question is a simple algebra problem. By setting up and solving the equation 'x - 8 = 34 - x', we find that the number is 21.

Explanation:

The subject of this question is algebra, and involves setting up and solving an equation. Let's denote the unknown number as 'x'. Following the question, we can set up the equation as 'x - 8 = 34 - x'.

To solve the equation, let's add 'x' to both sides to get 2x - 8 = 34. Then, add 8 to both sides to get 2x = 42. Finally, divide each side by 2, so that 'x = 21'.

So, the number that satisfies the equation is 21.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ3

Find the equation of the line.

A) y= -3/2 x + 1

B) y= -2/3 x - 1

C) y= 2/3 x + 1

D) y= 3/2 x - 1

Answers

It’s y=2/3x+1 that’s the equation of the line.

Hope this helps

Answer:

It’s y=2/3x+1 that’s the equation of the line.

Step-by-step explanation:

Solve 6,394 divided by 42 =

Answers

The required quotient is [tex]152[/tex] and remainder is [tex]10[/tex].

Given that [tex]6394[/tex] ÷ [tex]42[/tex].

Long division states that [tex]divident= divisor*quotient+remainder[/tex].

Let [tex]a[/tex] and [tex]b[/tex] be any real number. Consider [tex]a[/tex] ÷ [tex]b[/tex] gives

[tex]a=bq+r[/tex], [tex]q[/tex] is quotient [tex]r[/tex] is remainder and its value is [tex]0\leq r < b[/tex].

[tex]\begin{array}{ccccc}42)&006394(152&\\-&42____________&\\&219& \\&\\-&210&\\&0094\\-&0084\\&0010\end{array}\right][/tex]

Hence, the required quotient is [tex]152[/tex] and remainder is [tex]10[/tex].

Learn more about Long division click here:

https://brainly.com/question/28748299

#SPJ6

Suppose a triangle has 3,4, and 5 sides.Which of the following must be true

Answers

Answer:

A. The triangle in question is a right triangle

Step-by-step explanation:

How do I simplify this expression

Answers

(4x - 3)(x + 5)
= 4x(x + 5) - 3(x + 5)
= 4x^2 + 20x - 3x - 15
= 4x^2 + 17x - 15 Answer

If the selling price is $18 and the markup is 33% what is the dollar market

Answers

that cost will be $23.94 in the dollar market

A single 6-sided dice is being rolled. What is the probability of rolling a 5 or an odd number?

Answers

S = sample space
S = set of all possible outcomes
S = {1,2,3,4,5,6}

E = event space
E = set of items we want to happen (rolling a 5, or rolling an odd number)
E = {1, 3, 5}
note: the event of "rolling a 5" is a subset of "rolling an odd number" because 5 is odd

n(S) = number of items in the sample space
n(S) = 6

n(E) = number of items in event space
n(E) = 3

Divide the values to get the probability
P(E) = n(E)/n(S)
P(E) = 3/6
P(E) = 1/2
P(E) = 0.50
P(E) = 50%

The answer in fraction form is 1/2
The answer in decimal form is 0.50
The answer as a percentage is 50%
These three values all represent the same idea, just written in different forms.

note: writing "P(E)" means "the probability of event E occurring", which I've defined as the event space above

What is the slope of a line that is parallel to the line y = x + 2?
















Answers

y = mx +c 

y = x + 2
⇒ slope = 1
⇒Slope of the parallel line = 1


Answer: 1

Answer:

I’m going to assume you didn’t put the 3/4x in your equation, if you had, the answer would’ve been 3/4.

Step-by-step explanation:

REMEMBER

If the equation is parallel, it will have the same slope as the other equation parallel to it.

Which of the following have the same value as the fraction below?

8/5 A.

Check all that apply.

A. 2.20
B. 220%
C. 1.60
D. 160%

Answers

The answers are both C. 1.60 and D. 160%
C. And D. I thing this is correct

A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jack picks a fruit at random and does not replace it. Then Bethany picks a fruit at random. What is the probability that Jack gets a peach and Bethany gets an orange?

Answers

Hello!

You have to find the probabilities of them happening separately

To do this you do the amount of favorable outcomes over the total amount of outcomes

3 + 2 + 2 + 2 + 5 = 14 total fruit

The chance of Jack getting a peach is 5 / 14

The chance of Bethany getting an orange is 2 / 13 because Jack did not put the fruit back in so their is one less to choose from

You multiply the two probabilities to find the probability of them happening in a row

5/14 * 2/13 = 5/91

The answer is 5/91

Hope this helps!
5/14 × 2/13 = 10/182

simplify by 2

10/182 ÷ 2/2

5/91

5 over 91

Using a straightedge, or using technology, sketch an obtuse, scalene triangle. Make sure to include your sketch in your answer.

Answers

Obtuse angles measure more than 90 degrees, scalene angles have three different side lengths. Would you like for me to include angle measure in the sketch?

What is the value of x in the equation x + 10 = 13?

Answers

The answer is x=3 Your Welcome!
that is a really hard question, maybe 3? Cx

What is the value of c when the expression 21.2x + c is equivalent to 5.3(4x − 2.6)?

Answers

Hi there! The answer is c = - 13.78

To find our answer we need to work out the parenthesis. This is for instance possible using rainbow technique.

[tex]5.3(4x - 2.6) = \\ 5.3 \times 4x - 5.3 \times 2.6 = \\ 21.2x - 13.78[/tex]

Therefore the value of c = - 13.78.
~ Hope this helps you!
5.3(4x - 2.6) = 21.2x - 13.78
Comparing with 21.2x + c:-
the value of c = -13.78 Answer

20 POINTS!

Verify the identity.

Answers

[tex]\dfrac{\cot x}{1+\csc x}=\dfrac{\csc x-1}{\cot x}\\\\L_s=\dfrac{\cos x}{\sin x}:\left(1+\dfrac{1}{\sin x}\right)=\dfrac{\cos x}{\sin x}:\left(\dfrac{\sin x}{\sin x}+\dfrac{1}{\sin x}\right)\\\\=\dfrac{\cos x}{\sin x}:\dfrac{\sin x+1}{\sin x}=\dfrac{\cos x}{\sin x}\cdot\dfrac{\sin x}{\sin x+1}=\dfrac{\cos x}{\sin x+1}[/tex]

[tex]R_s=\left(\dfrac{1}{\sin x}-1\right):\dfrac{\cos x}{\sin x}=\left(\dfrac{1}{\sin x}-\dfrac{\sin x}{\sin x}\right)\cdot\dfrac{\sin x}{\cos x}\\\\=\dfrac{1-\sin x}{\sin x}\cdot\dfrac{\sin x}{\cos x}=\dfrac{1-\sin x}{\cos x}\cdot\dfrac{1+\sin x}{1+\sin x}=\dfrac{1-\sin^2x}{\cos x(1+\sin x)}\\\\=\dfrac{\cos^2x}{\cos x(1+\sin x)}=\dfrac{\cos x}{1+\sin x} \\\\L_s=R_s[/tex]

[tex]Used:\\\csc x=\dfrac{1}{\sin x}\\\\\cot x=\dfrac{\cos x}{\sin x}\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\\\\(a-b)(a+b)=a^2-b^2[/tex]

Please help me out here.

Answers

An exponent rule that applies to this scenario:

When you multiply two exponents with the same base together, you can add the indexes together. For example, if you had y * y², you could make it y³, by adding the indexes of 2 and 1.

In this scenario, you can look at the last choice, where it has [tex] x^{9} [/tex] * x. You add the indexes of 9 and 1, to get [tex] \sqrt[3]{ x^{10} } [/tex]

That's equivalent to the equation given, so your answer would be the last choice.

A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degrees.how far out from the building does the base of the ladder need to be positioned

Answers

we know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft  (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft

You fly a hot air balloon 1.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round your answer to the nearest tenth. (Earth's radius is approximately 4000 miles.)

Answers

Answer:

3.1

Step-by-step explanation:

If you are doing this for big ideas, the answer ended up being 3.1

I'm sorry if you wanted the work, I found the answer from something else that didn't show the work but this was the correct answer...

Final answer:

To find the measure of BD⌓, the visible portion of Earth's surface from a hot air balloon 1.5 miles above the ground, convert the height to kilometers and use the formula D = 112.88 km × √h to get the distance to the horizon, which is about 175.4 km. Then, calculate the semicircular distance visible by using C/2 = (π × D) / 2, which results in approximately 276.1 km for the measure of BD⌓.

Explanation:

To calculate the measure of BD⌓, the portion of Earth's surface that is visible from a hot air balloon 1.5 miles above the ground, you can use the formula for the distance to the horizon, given as D = 112.88 km × √h, where h is the height above the Earth's surface. In this case, we must convert the height of 1.5 miles to kilometers before applying the formula, as the formula uses kilometers.

The conversion from miles to kilometers is 1 mile = 1.60934 kilometers, so 1.5 miles is approximately 2.414 km.

Inserting h = 2.414 km into the formula, we get:

D = 112.88 km × √2.414

D = 112.88 km × 1.5535 (approx)

D ≈ 175.4 km (rounded to the nearest tenth)

This is the straight-line distance to the horizon. To find the measure of the arc BD, which is the portion of the Earth's surface visible, we can treat this distance as the radius of a circle and calculate the circumference. However, since we are only looking at the visible part, which is a semicircle, we use half of the circumference C = π × D.

The measure of BD⌓ is therefore approximately:

C/2 = (π × 175.4 km) / 2

C/2 ≈ 276.1 km

Thus, the measure of BD⌓ to the nearest tenth is 276.1 km.

Select the property that allows the statement 10 = y to be written y = 10.


Commutative - addition

Distributive

Associative - multiplication

Symmetric

Commutative - multiplication

Associative - addition

Identity - addition

Answers

Hello!

This is the symmetric property

Hope this helps!
Answer:

The property that allows the statement 10 = y to be written y = 10 is:

                       Symmetric

Step-by-step explanation:

We know that for any set A. if a and b are two elements of the set A.

Then if a is related to b by some relation then by the symmetric property b must be related to a by the same property.

Here 10 is related to y by the equality relation.

i.e. 10=y

Hence, by the symmetric property we have that y must be related to 10 by the same equality relation.

i.e.   y=10

Megan uses a credit card with a 24.9% APR compounded monthly to pay for car repairs totaling $583.75. She can pay $240 per month on the card. What will the total cost of this purchase be

Answers

It is convenient to use a spreadsheet to compute the finance charge and the new balance each month. The graphic here shows the beginning balance and finance charge for each of the 3 months it will take Megan to pay off the purchase.

Her total expense is $605.80.

the correct answer is $605.80

What is the positive solution of x2 – 36 = 5x?

Answers

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

[tex]x^2-36=5x[/tex]

we have to find the positive solution of above equation.

[tex]Equation: x^2-5x-36=0[/tex]

By splitting middle-term method

[tex]x^2-5x-36=0[/tex]

[tex]x^2-9x+4x-36=0[/tex]

[tex]x(x-9)+4(x-9)=0[/tex]

[tex](x+4)(x-9)=0[/tex]

[tex]x+4=0, x-9=0[/tex]

The solution is x=-4 and x=9

Hence, the positive solution is x=9

Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line

y = 1/4x + 5

Answers

General Equation of a linear line : y = mx + b

Find the slope:
y = 1/4 x + 5
Slope = 1/4
Slope of perpendicular line = -4

Substitute m = -4 into the equation:
⇒ y = -4x + b

Find y-intercept:
At point (0, 2) ⇒ y-intercept = 2

Substitute b = 2 into the equation
y = -4x + 2

Answer: y = 4x + 2

Answer:

y=-4x+2

Step-by-step explanation:

The line passes through (0,2), so chuck these numbers in and you get a value of 2 for c. If you're sharp, you might spot that this point is the y-intercept of the line since the x- coordinate is 0, this point is on the Y-axis, and you don't even have to throw numbers in.

Therefore the equation of the line is:

y = -4x + 2

Hope that was clear!

How do you know the sum of a positive and negative integer will be negative?

Answers

Um, you don't. The sum of a positive and a negative integer can be positive:

[tex]8+(-3)=+5[/tex]

If what you're asking is, under what condition will the sum of a positive and negative be negative, then it's when the absolute value of the negative number is greater than the positive number. For example:

positive number: 8
negative number: -10

[tex]8+(-10)=-2[/tex]

This sum is negative. Note that [tex]\mid{-10}\mid\ \textgreater \ 8[/tex].

Item 18 A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of the ball. What is the volume of the box?

Answers

Volume of the given box is 5832 in³

Volume of the cube:

Given a spherical ball with a volume of 972π in.³,

Since the volume of a sphere is (4/3)πr³, we can find that the radius of the sphere is 9 inches.

The edge length of the cube (box) is twice the radius (diameter of the sphere), so the edge length of the cube is equal to 18 inches.

The volume of the cube is then (18³) in³

Volume of the cube = 5832 in³

If 75% of the students in Toby’s grade voted, how many students are in Toby’s grade?

Answers

Answer:

The total number of students in Toby's grade is 200.

Answer:number of students who voted= 75%= 150

75% of total number of students= 150

The total number of students in Toby's grade is 200.

Step-by-step explanation:

find the solution of this system of equations
-6x-2y=8
7x-2y=-5

Answers

Photo math said that the answer is (x, y)= (-1, -1)

A person who is 55 feet tall is standing 168168 feet from the base of a​ tree, and the tree casts a 180180 foot shadow. the​ person's shadow is 1212 feet in length. what is the height of the​ tree?

Answers

121255 ft tall right

a glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. if a single marble is chosen at random from the jar, what is the probability that it is red

Answers


[tex] \frac{1}{10} [/tex]
The probability of a red marble being chose is 10%

suppose you deposit 1,000 ina savings account that pays interest at an annual rate of 5%. if no money is added or withdrawn from the account answer the following questions. How much money will be in the account after 3 years? How much will be in the account after 18 years? How many years will it take for the account to contain 1,500? How many years will it take for the account to contain 2,000?

Answers

After three years:  $1000(1+0.05)^3 = $1157.63

Time req'd for amount to reach $1500 from $1000:

1500=1000(1+0.05)^t, or 1.5=1.05^t
                                               ln 1.5
ln 1.5 = t ln 1.05, so that t = ------------ = 8.31 years, or 8 yr 3 3/4 months
                                              ln 1.05

You roll a number cube and flip a coin. find the probability of rolling an even number and flipping heads. write your answer as a fraction in simplest form.

Answers

Supposing that the number are 1-6 there are 3 even numbers, so the probability to roll an even number is 3/6=1/2. Probability of flipping head is 1/2 so combined probability=1/2×1/2=1/4.

Hope this helped!

Final answer:

To calculate the combined probability of rolling an even number on a number cube and flipping heads on a coin, you multiply the separate probabilities of each event, which are 1/2 and 1/2 respectively, resulting in a combined probability of 1/4.

Explanation:

The probability of rolling an even number on a number cube (which is a standard six-sided die) is 3 out of 6 since there are three even numbers (2, 4, 6) and six possible outcomes overall. This simplifies to 1/2. The probability of flipping heads on a coin is 1/2 since there are two possible outcomes, heads or tails, and both are equally likely if the coin is fair.

To find the combined probability of two independent events (rolling an even number and flipping heads), you multiply the probabilities of each event together. So, the probability of rolling an even number and flipping heads is 1/2 (for the number cube) times 1/2 (for the coin), which equals 1/4 or 25%.

In the simplest form, the fraction is written as 1/4.

The data shows the number of grams of fat found in 9 different health bars.12, 14, 16, 16.5, 11, 18, 18, 14, 20 What is the IQR (interquartile range) for the data?
9
5
16
18

Answers

The interquartile range (IQR) for the given health bar fat content data set is 5 grams, calculated by subtracting the first quartile (13) from the third quartile (18).

To calculate the interquartile range (IQR) of the given health bar data set, first, we must organize the numbers in ascending order: 11, 12, 14, 14, 16, 16.5, 18, 18, 20. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

Find the median (the middle value) of the dataset, which will also serve as the second quartile (Q2). The median of the dataset here is 16.

To find Q1, calculate the median of the lower half of the data (not including the median of the dataset if your dataset has an odd number of values). So the lower half of the data is 11, 12, 14, 14, and the median of this is 13.

To find Q3, calculate the median of the upper half of the data. The upper half following our median is 16.5, 18, 18, 20, with a median value of 18.

The IQR is Q3 - Q1, which is 18 - 13 = 5.

Thus, the IQR for the health bars' fat content data is 5 grams.

Other Questions
Which armed forces arrived the day following the Tulsa Race Riot, too late to stop the destruction of African American neighborhoods? A. the Marines B. the Navy C. the National Guard D. the Air Force To explain the word translucent, the author Effects of race at NACA could also be felt professionally. The black West Computers were paid less than their white counterparts. They had lower titles, even when they had more experience or education. Most never received promotions. One exception was Dorothy Vaughan. After years of effort and resistance, Vaughan was the first black person to be named a NACA supervisor in 1948. The IBM 7090 machines started to replace the work of human computers. But Vaughan studied to become an expert FORTRAN programmer. She advocated for the other West Computers throughout her career. Vaughan helped some of the most talented computers out of the pool and into the scientific teams. What organizational structure is used here? A. Comparison/contrast B. Cause/effect C. Problem/solution D. Sequence Complete the following sentence so that the subject agrees with the verb. _____ of the employees have to go to Chicago for training. a)Any b)All c)Each d) Neither What is the significance of secondary growth in plants?A) To support the extra weight of the tree due to an increase in its height and to prevent it from collapsingB) To support the extra weight of the tree due to an increase in its breadth and to prevent it from collapsingC) To support the roots due to an increase in their number and to prevent the tree from collapsing Why did the cia seek to destabilize the government of chile after 1970? Lakes and rivers account for slightly more available freshwater than groundwater does. a. True b. False A good leader will have followers who_____. Raul and raymond are 4 and 5 years old, and the main benefit they get out of being "best" friends is Can someone help with number 3 Sophia, a home-maker, has an abusive husband. however, despite the abuse, sophia continues to stay with him as she believes that the financial rewards outweigh a "few beatings." this scenario is an illustration of the ________ theory. Briefly explain how skips can be traced Your friend is looking over your shoulder while you are reading in your abnormal psychology textbook about conduct disorders. your friend says, "conduct disorder just sounds like another term for juvenile delinquency." is your friend correct or incorrect? What is the typical relationship between a persons network size and the number of jobs leads they have In FGH, mF = 65, mG = 55, and mH = 60. Which side of FGH is the shortest? Young african american air force veteran who in 1962 If element "X" is heavier than element "Y" then...Question 4 options:A.) Element "X" must be a metal.B.) Then Element "X" must be on the right side of the periodic table.C.) Element "X" must have more particles in the nucleus than Element "Y."D.) Element "X" must have a higher melting point than Element "Y." Tinas 76-year-old great aunt comes into the clinic for a visit and you find that she frequently asks you to repeat what you say. During the Rinne test, you find that air conduction is greater than bone conduction in her left ear. What is your differential diagnosis? What additional assessments would you perform? how does increasing concentration/ temperature/ surface area affect the yield of products in a chemical reaction (not reversible) How are decisions about what to produce made in australia a.) the wealthy make all decisions about what to produce b.) the aboriginal people make decisions about what to produce c.) the government makes the decisions about what to produce d.) individuals makes the decisions about what to produce